513543345315 has 384 divisors, whose sum is σ = 1165373153280. Its totient is φ = 189626572800.

The previous prime is 513543345269. The next prime is 513543345383.

513543345315 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 513543345315 - 2¹³ = 513543337123 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 902536351 + ... + 902536919.

It is an arithmetic number, because the mean of its divisors is an integer number (3034825920).

Almost surely, 2^513543345315 is an apocalyptic number.

513543345315 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

513543345315 is an abundant number, since it is smaller than the sum of its proper divisors (651829807965).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

513543345315 is a wasteful number, since it uses less digits than its factorization.

513543345315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923 (or 916 counting only the distinct ones).

The product of its digits is 810000, while the sum is 42.

It can be divided in two parts, 513543 and 345315, that added together give a palindrome (858858).

The spelling of 513543345315 in words is "five hundred thirteen billion, five hundred forty-three million, three hundred forty-five thousand, three hundred fifteen".